Analysis of xx-ph-00000378-H66-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 9876.....65....9............4..3..9...69..8.......2..1..58..7......4...2.....1.3. initial

Autosolve

position: 9876.....65....9............4..3..9...69..8.......2..1..58..7......4...2.....1.3. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.172683

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000021

List of important HDP chains detected for I7,I9: 9..:

* DIS # I7: 9 # F8: 3,6 => CTR => F8: 5,7,9
* CNT   1 HDP CHAINS /  21 HYP OPENED

List of important HDP chains detected for D4,E5: 1..:

* PRF # D4: 1 # A4: 2,8 => SOL
* STA # D4: 1 + A4: 2,8
* CNT   1 HDP CHAINS /   2 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is deep. Here is some information that may be helpful on how to proceed.

Positions

9876.....65....9............4..3..9...69..8.......2..1..58..7......4...2.....1.3. initial
9876.....65....9............4..3..9...69..8.......2..1..58..7......4...2.....1.3. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
F4: 6,8
E6: 6,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E5: 1.. / D4 = 1  =>  4 pairs (_) / E5 = 1  =>  4 pairs (_)
G4,H5: 2.. / G4 = 2  =>  3 pairs (_) / H5 = 2  =>  3 pairs (_)
I5,G6: 3.. / I5 = 3  =>  3 pairs (_) / G6 = 3  =>  4 pairs (_)
F5,D6: 4.. / F5 = 4  =>  4 pairs (_) / D6 = 4  =>  3 pairs (_)
F4,E6: 6.. / F4 = 6  =>  4 pairs (_) / E6 = 6  =>  2 pairs (_)
F4,E6: 8.. / F4 = 8  =>  2 pairs (_) / E6 = 8  =>  4 pairs (_)
H8,I9: 8.. / H8 = 8  =>  2 pairs (_) / I9 = 8  =>  4 pairs (_)
E3,F3: 9.. / E3 = 9  =>  3 pairs (_) / F3 = 9  =>  3 pairs (_)
B6,C6: 9.. / B6 = 9  =>  3 pairs (_) / C6 = 9  =>  3 pairs (_)
I7,I9: 9.. / I7 = 9  =>  4 pairs (_) / I9 = 9  =>  4 pairs (_)
* DURATION: 0:00:06.814368  START: 04:44:30.363284  END: 04:44:37.177652 2020-10-18
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I7,I9: 9.. / I7 = 9 ==>  4 pairs (_) / I9 = 9 ==>  4 pairs (_)
D4,E5: 1.. / D4 = 1 ==>  0 pairs (*) / E5 = 1  =>  0 pairs (X)
* DURATION: 0:00:18.736519  START: 04:44:37.929677  END: 04:44:56.666196 2020-10-18
* REASONING I7,I9: 9..
* DIS # I7: 9 # F8: 3,6 => CTR => F8: 5,7,9
* CNT   1 HDP CHAINS /  21 HYP OPENED
* REASONING D4,E5: 1..
* PRF # D4: 1 # A4: 2,8 => SOL
* STA # D4: 1 + A4: 2,8
* CNT   1 HDP CHAINS /   2 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

378;H66;GP;22;11.40;11.40;3.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I7,I9: 9..:

* INC # I7: 9 # E9: 2,6 => UNS
* INC # I7: 9 # E9: 5,7,9 => UNS
* INC # I7: 9 # B7: 2,6 => UNS
* INC # I7: 9 # B7: 1,3 => UNS
* DIS # I7: 9 # F8: 3,6 => CTR => F8: 5,7,9
* INC # I7: 9 + F8: 5,7,9 # B7: 3,6 => UNS
* INC # I7: 9 + F8: 5,7,9 # B7: 1,2 => UNS
* INC # I7: 9 + F8: 5,7,9 # E9: 2,6 => UNS
* INC # I7: 9 + F8: 5,7,9 # E9: 5,7,9 => UNS
* INC # I7: 9 + F8: 5,7,9 # B7: 2,6 => UNS
* INC # I7: 9 + F8: 5,7,9 # B7: 1,3 => UNS
* INC # I7: 9 + F8: 5,7,9 # B7: 3,6 => UNS
* INC # I7: 9 + F8: 5,7,9 # B7: 1,2 => UNS
* INC # I7: 9 + F8: 5,7,9 => UNS
* INC # I9: 9 # G3: 2,6 => UNS
* INC # I9: 9 # G3: 1,3,4 => UNS
* INC # I9: 9 # H7: 4,6 => UNS
* INC # I9: 9 # G9: 4,6 => UNS
* INC # I9: 9 # I3: 4,6 => UNS
* INC # I9: 9 # I3: 3,5,7,8 => UNS
* INC # I9: 9 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for D4,E5: 1..:

* PRF # D4: 1 # A4: 2,8 => SOL
* STA # D4: 1 + A4: 2,8
* CNT   1 HDP CHAINS /   2 HYP OPENED